A linear programming computer package is needed. Frandec Company manufectures, assembles, and rebuilds material handling equipment used in warehouses and distribution centers. One product, called a Liftmaster, is assembled from four components: a frame, a motor, two supports, and a metal strap. Frantice's production schedule calls for 4,50D Liftmasters to be made next month. Frandor purchases the mators from an outside supplier, but the frames, supports, and straps may he cither manufactured by the company or purchased from an outside supplier. Manufacturing and purchase costs per unit are shown. Component Manufacturing Cost Purchase Cost Frame $37.00 $50.00 Support $10.50 $14.00 Strap $5.50 $6.50 Three departments are involved in the production of these components. The time (in minutes per unit) required to process each component in each department and the available capacity (in hours) for the three departments are as follows. Department Component Cutting Milling Shaping Frame 3.5 2.2 3. Support 1.3 1.7 2.6 Strap 0.8 - 1.7 Capacity (hours) 350 420 680 (e) Formulale and solve a linear programing model for this intake-or-buy appliceliari. (Lel FK = nuriber or frames inertureclured, FP = number of framnes purchased, SM = rumber of supports menureclured, SP = nuriber of supports purchased, T = number of straps manufactured, and TP-number of straps purchased. Express time in minutes per unit) Min